Sentence examples for mathematical expressions based from inspiring English sources

Mode-dependent criteria are generally established in terms of mathematical expressions based on material strengths.

The species diversity can be measured by using various diversity indices the mathematical expressions based on species abundance data.

For example, for the reversible reaction A ⇋ B + C, the velocity of the reaction to the right, r1, is given by the mathematical expression (based on the law of mass action) r1 = k1(A), where k1 is the reaction-rate constant and the symbol in parentheses represents the concentration of A. The velocity of the reaction to the left, r2, is r2 = k2(B)(C).

It was proven theoretically that for sensors of non-negligible length, the statistical properties of the signal obtained depend only on local holdup, local size distribution and sensor length; a new and easier method of deriving the appropriate mathematical expressions was found, based on a conceptual model which does not affect the generality of the expressions.

The weight calculation like parameter in other mathematical expressions is done based on the real kinematic data of carangiform fish.

In this study, continuum based mathematical expressions are developed for the overall steady-state site reaction rate, as well as the associated reactant concentration profiles.

A feature exclusively unique to ThunderSTORM is the possibility of specifying the threshold for detection of molecules using a mathematical expression with quantities based on raw or filtered images.

Let Wikipedia explain it: Vector graphics is the use of geometrical primitives such as points, lines, curves, and shapes or polygon(s), which are all based on mathematical expressions, to represent images in computer graphics.

Although explicit mathematical expressions can be found for estimators, iterative numerical methods based on the Newton Raphson are typically used (Dobson, 2002; McCullagh and Nelder, 1989).

All of them represent a different and simplified method to estimate hmF2 and are based on different mathematical expressions.

Models based on accurate mathematical expressions for physical processes are mostly useful to understand the actual operation of the plant.